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Finding the Fourth Proportional to 12,105.89, 16,703.19 and 7,067.23

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Solution

The fourth proportional to 12,105.89, 16,703.19 and 7,067.23 is: 9,751.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,105.89 : 16,703.19 = 7,067.23 : x
  2. Step 2: Convert to fraction form
    12,105.89/16,703.19 = 7,067.23/x
  3. Step 3: Cross multiply
    12,105.89x = 16,703.19 × 7,067.23
  4. Step 4: Simplify right side
    12,105.89x = 118,045,201.95
  5. Step 5: Solve for x
    x = 118,045,201.95/12,105.89
  6. Step 6: Final answer
    x = 9,751.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.